Question

A number when divided by a divisor leaves a number of 24 ,when twice the original number is divided by the same divisor the remainder is divided by the same divisor the remainder is 11,what is divisor

Answer 1

Question :-

A number when divided by a divisor leaves a number of 24 ,when twice the original number is divided by the same divisor the remainder is divided by the same divisor the remainder is 11,what is divisor..?

Answer :-

The divisor is 37

To find :-

Find divisor .

Step - by - step explanation :-

Solution :-

Let , The divisor be "a" and quotient is "b" .

Then Number = ab +24

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According to the question

Twice the number = 2ab + 48

2ab is completely divisible by "a",

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On dividing 48 by "a" remainder is "a",

→ a = 48 - 11

→ a = 37

Therefore ,the divisor is 37 .